| Project/Area Number |
24654040
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Global analysis
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| Research Institution | Ehime University |
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Principal Investigator |
HIRAIDE Koichi 愛媛大学, 理工学研究科, 准教授 (50181136)
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| Co-Investigator(Kenkyū-buntansha) |
MATSUOKA Chihiro 愛媛大学, 理工学研究科, 准教授 (10270266)
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | Borel-Laplace transform / dynamical systems / entropy / stable manifold / unstable manifold / Henon maps / special functions / dynamical system / Henon map / stable manifolds / unstable manifolds / Global solution / エノン写像 / 安定・不安定多様体 / ボレル・ラプラス変換 / 漸近展開 |
|---|
| Outline of Final Research Achievements |
In this study, when a fxed point of a Henon map is hyperbolic, new functins describing the stable and unstable manifold have been constructed. This result
will give a new development in the research of dynamical systems, in the same way one by a work of Poincare at the end of 19th century. In this study, moreover, by making use of these new functions, the entropy estimation of Henon maps and Logistic maps has been done.
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